The construction of overlapping communities is by now a well-known and frequently addressed problem of network analysis [1]}, [2]}, [3]}.
Constructing overlapping communities of nodes by clustering links has been proposed by evans2009line and by ahn2009link.
The use of local rather than global information to reconstruct community structures of networks is also well established [4]}, [5]}, [6]}, [7]}.
However, as reviews of algorithms indicate fortunato2010community,Xie:2013:OCD,ameliooverlapping2014, link clustering,
the use of local information and the construction of
pervasively overlapping communities have not yet been applied together, possibly because the task for which this is necessary has not yet arisen.
